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arXiv:0905.0801 [math.DG]AbstractReferencesReviewsResources

On a Three Dimensional Riemannian Manifold with an Additional Structure

Georgi Dzhelepov, Iva Dokuzova, Dimitar Razpopov

Published 2009-05-06, updated 2017-08-29Version 2

We consider a 3-dimensional Riemannian manifold with additional structure q. We find a condition that the affine structure q is parallel with respect to the Riamannian connection.We prove the sectional curvatures of three 2-sections formed linearly independent vectors are equal among them.

Comments: 9 pages
Journal: Plovdiv Univ. Sci. Works Math., V. 38, no. 3, 2011, p.17-27
Categories: math.DG
Subjects: 53B20
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